Conformal mesh deformations with Möbius transformations

DOI10.1145/2766915zbMath1334.68271OpenAlexW2150490690MaRDI QIDQ2802291

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Publication date: 25 April 2016

Published in: ACM Transactions on Graphics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/2766915

zbMATH Keywords

interpolationMöbius transformationscircular meshesdiscrete conformal transformationshandle-based editing

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

Two-Dimensional Shape Optimization with Nearly Conformal Transformations ⋮ Low-dimensional dynamics in non-Abelian Kuramoto model on the 3-sphere ⋮ On inversion-free mapping and distortion minimization

Uses Software

• libigl
• ShapeOp

Cites Work

• Unnamed Item
• The quaternion formalism for Möbius groups in four or fewer dimensions
• Minimal surfaces from circle patterns: geometry from combinatorics
• Quaternionic analysis, representation theory and physics
• Möbius transformations on ℝ³
• Variational principles for circle patterns and Koebe’s theorem
• Form-finding with polyhedral meshes made simple
• Locally injective parametrization with arbitrary fixed boundaries
• Planar shape interpolation with bounded distortion

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